Answer:
Explanation:
To solve the system of linear equations using the elimination method, we can first multiply one equation by a constant so that the coefficients of one variable are equal in both equations. This allows us to eliminate that variable and find the value of the other variable. Then, we can substitute that value back into one of the equations to find the value of the other variable.
Here's how it works for the given system:
7x + 2y = 24
8x + 2y = 30
Multiplying the first equation by 8 and subtracting it from the second equation, we can eliminate the y variable:
7x + 2y = 24
8x + 2y = 30
(7x + 2y) * 8 - (8x + 2y) = 24 * 8 - 30
56x = 168
x = 3
Substituting x = 3 back into one of the equations:
7x + 2y = 24
7 * 3 + 2y = 24
21 + 2y = 24
2y = 3
y = 1.5
So the solution to the system is (x, y) = (3, 1.5).